X-y=11
2x+y=19
add them
x-y=11
<u>2x+y=19 +</u>
3x+0y=30
3x=30
divide 3
x=10
sub baack
x-y=11
10-y=11
minus 10
-y=1
times -1
y=-1
(x,y)
(10,-1)
The answer is 1....................
Hello,
y=3x+b is parallele to y=3x-10
In order to determine b, we must know something else.
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
